The problem involves solving a set of nonlinear equations for the variables x, y, and z, given the relationships between them and constants a, b, and c, which are not equal to zero.
The discussion is ongoing, with participants exploring different approaches to the problem. Some guidance has been offered regarding rewriting the equations and substituting variables, but no consensus has been reached on a specific method or solution.
Participants note the challenge of starting the problem and the presence of a trivial solution, indicating that further exploration of non-trivial solutions is necessary.
dirk_mec1 said:Homework Statement
Solve x,y and z from [tex] \frac{y+z}{a}= \frac{x+z}{b}=\frac{x+y}{c} = xyz[/tex]
wit a,b,c not equal to zero.
Homework Equations
The Attempt at a Solution
I have no idea how to start. I've tried several things but it seems like I'm missing something. I did find the trivial solution (0,0,0).
dirk_mec1 said:Homework Statement
Solve x,y and z from [tex] \frac{y+z}{a}= \frac{x+z}{b}=\frac{x+y}{c} = xyz[/tex]
wit a,b,c not equal to zero.
Homework Equations
The Attempt at a Solution
I have no idea how to start. I've tried several things but it seems like I'm missing something. I did find the trivial solution (0,0,0).